Answer:
a. Check the attached image
b. The Pr(Y > 2) = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. The exact value is 1 because it is certain from the given data that any probability will fall within that range.
Step-by-step explanation:
a. An image showing the step by step solution is attached.
b. P(Y > 2) = P(3) + P(4)
= 2/10 + 3/10 = 5/10 = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. Check the attached image for the steps.
CENTRAL ANGLE:
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.
</span>
<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
Answer:
1
Step-by-step explanation:
4(1)-3=?
4-3=1
The square root of 640 is 25.29
Answer:
12 units
Step-by-step explanation:
Point H is the intersection of the medians, so divides each median into parts with the ratio 2:1. Here, that is ...
CH : HG = 2 : 1 = CH : 6
Then CH = 2×6 = 12.
_____
Alternatively, you could determine altitude CG from the Pythagorean theorem applied to triangle BCG. You would compute ...
CG² +GB² = BC²
CG = √(BC² -GB²) = √(19.8² -8²) = √146.7 ≈ 12.1
This is an approximation based on the fact that the value 9.9 for BF is an approximation. Based on BG and GH being integer values, the appropriate measure of BF is (√388)/2 ≈ 9.8489.
(The triangle shown cannot exist.)
